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A class of quasi-linear Riemann-Hilbert problems for system of first order elliptic equations with general form

Name: A class of quasi-linear Riemann-Hilbert problems for system of first order elliptic equations with general form
Keywords: Boundary value problems for second-order elliptic equations, function theoretic approaches, quasi-linear, Riemann-Hilbert problems, Boundary value problems in the complex plane, Boundary value problems for nonlinear first-order PDEs, fixed point theorem, integral operator, existence theorem

descriptionPublicationkeyboard_double_arrow_right Article Publisher:Fudan University, Shanghai

Authors: Li, Mingzhong; Wen, Xiaoqin;

A class of quasi-linear Riemann-Hilbert problems for system of first order elliptic equations with general form

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Abstract

A class of quasi-linear Riemann-Hilbert problems for a system of first order elliptic equations with general form are discussed. Under suitable hypotheses and by means of integral operator theories, function theoretic approaches and fixed point theorem, it is proved that the boundary value problems are also solvable in the corresponding functional space.

Keywords

Boundary value problems for second-order elliptic equations, function theoretic approaches, quasi-linear, Riemann-Hilbert problems, Boundary value problems in the complex plane, Boundary value problems for nonlinear first-order PDEs, fixed point theorem, integral operator, existence theorem

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